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Finding the Fourth Proportional to 433,972.30, 650,989.64 and 149,658.76

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Solution

The fourth proportional to 433,972.30, 650,989.64 and 149,658.76 is: 224,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,972.30 : 650,989.64 = 149,658.76 : x
  2. Step 2: Convert to fraction form
    433,972.30/650,989.64 = 149,658.76/x
  3. Step 3: Cross multiply
    433,972.30x = 650,989.64 × 149,658.76
  4. Step 4: Simplify right side
    433,972.30x = 97,426,302,295.25
  5. Step 5: Solve for x
    x = 97,426,302,295.25/433,972.30
  6. Step 6: Final answer
    x = 224,498.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.